JP2016507394A - Slide rolling method for the creation of bevel gears - Google Patents

Abstract

A creation cutting process for manufacturing bevel gears and for employing a single rotating disc cutter (36), wherein part of the creation cutting process effectively rotates the workpiece during creation. Includes a reduction (38) in corners (40), thereby reducing or eliminating cutting action on the clearance side (42) of the rotating disk cutter.

Description

  This application claims the benefit of US Provisional Patent Application No. 61 / 766,144, filed Feb. 19, 2013, the entire disclosure of which is incorporated herein by reference.

  The present invention is directed to the manufacture of gears, particularly the creation of straight bevel gears, utilizing a rotating disk cutter.

  By providing a pair of inclined rotating cutting tools in which rotating cutting blades work effectively and simultaneously cut the same tooth space of a workpiece, straight toothed bevel gears, as well as helical bevel gears, face couplings It is known to produce male spline parts. Examples of this type of processing can be found in, for example, Wildhaber Patent Document 1, Carlsen Patent Document 2 and Patent Document 3, Spear Patent Document 4, or Non-Patent Document 1 issued by Gleason Works.

  Straight tooth bevel gears can be formed by a non-creating process in which a tilting tool is plunged into the workpiece and forms a tooth space with a tooth profile surface that is the same shape as that of the cutting edge. Alternatively, the tooth surface can be created and a tilting tool is carried on a cradle of the machine that rotates the tool with the workpiece by creating roll motion to form a profile surface created on the workpiece. In either case, the tool may also include a cutting edge that is positioned at a slight angle (eg, 3 °) with respect to the cutter rotation surface. Such an inclined cutting edge, in conjunction with the inclination of the tool, removes more material at both ends of the tooth space, thereby the longitudinal curvature of the tooth surface for localization of tooth contact ( That is, longitudinal ease-off) occurs.

  The bevel and hypoid gears can be cut in a single indexing process (front milling) or in a continuous indexing process (front hobbing). A basic cutting setup at the generating or cradle surface would place the center of the cutter head away from the generating gear center (cradle axis) by an amount known as the radial distance. While the cutter rotates, the contour of the cutter blade represents one tooth of the generating gear. A typical front cutter for bevel gear cutting has several groups of cutting blades, each group comprising between 1 and 4 cutting blades. Most commonly, it is an alternating (complete) cutter with one outer and one inner cutting edge. The peripheral cutter head for manufacturing a straight bevel gear by the interlocking cutter method uses only one type of cutting blade (for example, an outer blade) that has been conventionally used in a general mechanical device.

US Pat. No. 2,586,451 US Pat. No. 2,567,273 U.S. Pat. No. 2,759,921 U.S. Pat. No. 2,947,062 US Pat. No. 6,712,566 US Pat. No. 7,364,391

Gleason Works pamphlet "No. 102 straight tooth bevel Coniflex <registered trademark> creation device" E. Buckingham, “Analytical Mechanics of Gears”, McGraw-Hill Book Company, 1949, pages 324-328

  In modern CNC devices, such as the device disclosed by US Pat. No. 6,099,077, known as a six-axis or free-former device, the disclosure of which is incorporated herein by reference, the above-described pair of interlocking cutters A single cutter is used to cut the first tooth surface in the lower cutting position, and the same cutter is described, for example, in US Pat. In a single indexing process, the second tooth surface is also used for cutting at the upper cutting position. Cutting the first flank faces the problem that the material must be removed not only at the cutting edge of the cutting blade but also at the clearance edge. The result is high partial temperature, poor cutting performance, and low tool life. In the combined vector feed and rolling process, during the first slot cutting, the clearance side of the cutting edge can be moved away from the material, protecting the clearance side of the cutting edge. However, vector feed in straight bevel gear cutting must use a very steep angle (only a few degrees away from the cutting blade centerline), which places a heavy chip removal load on the cutting edge. This leads to premature failure of the cutting edge and therefore results in a low tool life.

  A similar situation occurs when using only one type of cutting edge (e.g., inner cutting edge only or full profile cutting edge) in face cutting. The cutting blade will only be optimal on one side for large amounts of chip removal, which increases the partial temperature and decreases the tool life.

  The present invention is directed to a creative cutting method for producing bevel gears and employing a single rotating disk cutter, wherein a portion of the creative cutting method is effectively effective during the creation. Reducing the cutting action on the clearance side of the rotating disk cutter.

It is a figure which shows the conventional interlocking cutter arrangement | positioning. The upper cutter has a cutting edge exposed at the top, and the cutter shaft is tilted so that the cutting edge represents the pressure angle of the generating rack profile. It is a figure which shows four states in the cross section in the center of the tooth width of a straight tooth bevel pinion provided with the engaged peripheral cutter. Only the lower cutter of FIG. 1 is shown and has a horizontally oriented cutter axis. It is a figure which shows four states in the cross section in the center of the tooth width of a straight tooth bevel pinion provided with the engaged peripheral cutter. Only the upper cutter of FIG. 1 is shown and has a cutter shaft oriented in the horizontal direction. 3 in section in the middle of the tooth width of a straight tooth bevel pinion with a peripheral cutter starting to engage in position 1, a cutter engaged 50% in position 2 and a cutter fully engaged in position 3 It is a figure which shows one state. Despite the rolling process shown in FIGS. 2 and 3, the cutter is fed into the material along a straight path in a predetermined vector direction. It is a figure which shows four states in the cross section in the center of the tooth width of a straight tooth bevel pinion provided with the peripheral cutter engaged in the downward position as in FIG. The work roll angle is decreased from the starting work roll (position 1) to position 3, the amount of decrease being proportional to the amount of work roll from the start. It is a figure which shows four figures which implement | achieve creation of the correct involute profile in reverse rolling mode (2nd pass of a double roll). After the sequence in FIG. 5, the flank profile resulting from work roll reduction is not the exact involute desired. It is a figure which shows the cross section of the virtual cylindrical gear showing the straight tooth bevel gear in the average part. The cutter blade represents one side of the creation rack that follows the path indicated by S _Pitch (or S ₁ ) during creation of the involute profile. FIG. 8 shows the workpiece and the cutter rotated clockwise by an angle α from FIG. 7 to accept the horizontal cutter axis. FIG. 8 shows the many radii and angles used in the proposed set of equations to calculate clearance side interference.

  The terms “invention”, “above invention” and “invention” as used herein are intended to broadly refer to all of the subject matter of this specification and any claims that follow. Descriptions including these terms should not be construed as limiting the subject matter described herein or limiting the meaning or scope of any of the claims below. Further, the specification does not seek to explain or limit the subject matter covered by any of the claims in any particular part, paragraph, description or drawing of the specification. The subject matter should be understood by the entire specification, all drawings, and any claims below. The invention is capable of other configurations and may be practiced or carried out in various ways. It is also understood that the expressions and terms used herein are for purposes of illustration and should not be considered limiting.

  The details of the invention will now be described with reference to the accompanying drawings which illustrate the invention by way of example only. In the drawings, like features or components will be referred to by like reference numerals.

  In this specification, the use of “including”, “having” and “including” and variations thereof is intended to encompass the items listed thereafter and equivalents thereof as well as additional items. The use of characters to identify elements of a method or process is merely for identification and is not intended to indicate that the elements should be performed in a particular order. Hereinafter, in the description of the drawings, reference may be made to directions such as upper side, lower side, upper side, lower side, rear side, bottom portion, upper side, front side, back side, and the like. (As is usually seen). These directions are not intended to be interpreted literally or to limit the invention in any way. Also, terms such as “first”, “second”, “third” and the like are used herein for illustrative purposes and are not intended to indicate or imply significance or significance.

  FIG. 1 shows a conventional arrangement of a pair of inclined rotating disk cutters 2, 4 (usually referred to as upper and lower cutters, respectively) having a cutting blade 6 for cutting a tooth gap in a workpiece 8. Indicates. The upper cutter 2 can rotate about the shaft 12, and the lower cutter 4 can rotate about the shaft 10. In the creation process with a conventional mechanical cradle type device, the inclined cutters 2, 4 are usually fed into the workpiece to a predetermined depth, and the creation rotation of the mechanical cradle (not shown) causes the tooth profile surfaces 14, 16. Is started in synchronism with the rotation of the workpiece 8.

  The cutter of FIG. 1 includes an interlocking cutter arrangement of a rotating disk cutter. The upper cutter 2 has a cutting edge 7 exposed on the upper surface. The cutter shaft 12 is inclined so that the cutting edge 7 represents the pressure angle of the generating rack surface. The lower cutting edge 9 of the upper cutter 2 is a clearance edge and is not sharp with regard to chip removal and is therefore not suitable for participating in the cutting process. The lower cutter 4 has a cutting edge 11 exposed on the bottom surface. The cutter shaft 10 is also tilted at the same angle as the upper cutter 2 but tilted in the negative direction. The upper cutting edge 13 of the lower cutter 4 is a clearance edge and is not sharp with regard to chip removal and is therefore not suitable for participating in the cutting process. Since both cutters 2, 4 are oriented to provide an interlocking arrangement, all the blades of the upper cutter 2 (with the cutting edge 7 on the upper surface) are lower (with the cutting edge 11 on the lower surface) Followed by one blade from the side cutter 2. This type of blade interaction provides a complete treatment with alternating blades that cut together both sides 14, 16 of one tooth space in the workpiece 8. During the generating rolling process, the two cutters 2, 4 are held in their position relative to each other and they swing around the generating gear axis, which is the same as the cradle axis of the old cradle type mechanical device. . For the present invention, it should be understood that the center of the roll position is the position where the cutter is symmetrically disposed in the tooth gap, as shown in FIG.

  When the single rotating disk cutter is used, for example, as in Patent Document 6 described above, the inventors have performed the cutting action on the clearance side in the rotating disk cutter as shown by 2 or 4 in FIG. Developed a method to reduce or eliminate. In the case of the interlocking cutter as shown in FIG. 1, one is equipped with a blade edge on the bottom surface side, and the second is equipped with a blade edge on the top surface side. Remove the tip from the tooth space.

  However, if only one cutter is used to roughly process the tooth gap and finish roll (ie, create) the first tooth surface, the clearance side, such as that shown in FIG. Cutting operations or severe tip cutting operations, such as those shown in FIG. 4, occur during the rough portion of the cycle.

  FIG. 2 shows four two-dimensional views in cross-section in the middle of the tooth width of a straight tooth bevel pinion 20 with an engaged peripheral cutter 22. Only one cutter (same as the lower cutter 4 of the two cutters in FIG. 1) is shown with the current horizontal orientation of the cutter axis. This is the orientation in a free-formation device having a horizontal cutter axis and a horizontal workpiece axis (for example, Patent Document 5 and Patent Document 6 previously discussed), which is the same as the relative posture in a mechanical device with an interlocking cutter Figure 2 shows the axis configuration required to achieve the rolling process between the tool and the workpiece, with the relative orientation between the tool and the workpiece. A free-formation device having a single cutter spindle does not have the ability to operate as a pair of interlocking cutters. The problem is therefore that a single cutter with only a sharp cutting edge on one side 24 (i.e. the right side in FIG. 2) will roughly process the tooth gap (cut on both sides of the cutting blade) and remove the first tooth surface. It is a fact that has to be finished (for example with a creation roll). This requires a shaped cutting action on the clearance side 26 of the cutting blade. FIG. 2 shows how the left side of the cutting blade from the work start rotation position (position 1) to the work end rotation position (position 4) is continuously related to the chip removal process. The cutting edge on the right side of the cutting blade is sharply formed with a side rake angle of 4 ° to 12 °, for example. The left side of the cutting blade is therefore dull due to a rake angle of -4 ° to -12 °. The left side of the cutting blade is not well suited for chip removal and results in low cutting performance with high partial temperature and low tool life. The original (ie, theoretical) rotation angle of the work roll is equal to the rotation angle of the generating gear multiplied by the roll ratio (number of teeth of the generating gear / number of teeth of the workpiece).

  3 is now shown with a horizontally oriented cutter shaft, but the tooth width of a straight tooth bevel pinion 20 with an engaged peripheral cutter 28 (eg, the upper cutter 2 of the two cutters in FIG. 1). Four two-dimensional views in cross section at the center are shown. This can be the same cutter that was used to cut at the lower position in FIG. 2 (ie, cutter 22), which is re-created by the freeformer to cut and form the second tooth surface. Can be placed. The problem of the cutting action on the clearance side of the cutting blade mentioned in the lower cutting position does not occur in the upper position shown in FIG. Since slot roughing has already been performed at the lower cutting position, processing at the upper position is limited to finish rolling of the second tooth surface. It will be appreciated that the upper and lower positions can be interchanged. In such a case, the lower position is limited to finish rolling.

  FIG. 4 shows the center of the tooth width of a straight tooth bevel pinion 30 with an outer circumferential disk cutter that is engaged at position 1, 50% engaged at position 2 and fully engaged at position 3. FIG. 3 shows three two-dimensional views in section at. Despite the rolling process shown in FIGS. 2 and 3, the cutter is fed into the material along a straight path in a predetermined vector direction. The vector direction is selected to remove the tip load from the blunt clearance edge and move the tip load to a sharp edge. The plunging process shown in FIG. 4 is only suitable for slot roughing. After pushing, with the same cutter, rolling and flank formation occurs in both the lower and upper positions. Vector feed indentation can move some tip loads away from the clearance edge, but it also directs a higher amount of tip load to the cutting blade tip. Compared to the “roll only” process, vector indentation rough machining leads to high cutting edge wear, and it is not possible to eliminate all cutting action at the cutting edge on the clearance side.

  In the case of the “roll only” process (rough machining of slots by rolling rather than rough indentation), the inventor can eliminate the cutting action on the clearance side by reducing the amount of work roll (rotation) angle. I discovered that. The reduction of the work roll angle is preferably achieved by reducing the workpiece rotation speed (reduction relative to the original theoretical amount) from the start roll position to the end roll position, preferably not exceeding the center roll position. The The reduction of the work roll beyond the center roll position results in an undercut of the involute flank, making it difficult to clean up the involute flank with a moderate setover in the second roll pass (double roll). Optimal results are obtained by utilizing the reduced workpiece rotational speed from the starting roll position to the central roll position, preferably the Δφi position before the central roll position (ie reduced to the original theoretical rotational speed). Be achieved). The reduced workpiece rotation speed is preferably constant from the starting roll to the center roll position, but can be varied during this period. After the work roll reduction end position, the original, unreduced, work rotation speed is preferably used. Most preferably, Δφi is a number between 0 ° and (end roll position−center roll position) / 2.

  The reduced work roll speed results in a cut out clearance side, as shown in FIG. 5, and provides sufficient clearance to prevent any clearance side cutting action. The amount of work roll speed reduction is preferably such that sufficient material on the cut clearance side has a second flank surface with an appropriate slot width in the second (upper) cutting step, as shown in FIG. It is calculated to still exist to form.

  FIG. 5 shows four two-dimensional views in cross-section in the middle of the tooth width of a straight tooth bevel pinion 34 with a peripheral cutter 36 engaged in the lower position as in FIG. The difference between FIG. 5 and FIG. 2 is a decrease 38 of the work roll angle 40 from the starting work roll (position 1) to position 3, the amount of decrease being similarly contemplated as an unbalanced amount of work roll reduction. However, preferably it is proportional to the amount of work roll from the start. Although the present invention is not so limited, for example, FIG. 5 shows a decrease rate of the work roll of −0.25 degrees per 15 degrees of roll motion. Thus, at position 3, a -0.75 degree work roll angle reduction is achieved for a 45 degree work roll angle. At position 3 (close to the center roll position), the work roll reduction ends, but between positions 3 and 4, the change in work roll is exactly the creation gear (multiplying the roll ratio). Means the value (ie, the original or theoretical amount) calculated from the cradle rotation.

  Rolling beyond the center roll position (from position 3 to position 4) while continuing the reduced rate of workpiece rotation can lead to an undercut of the root region and should therefore be avoided. The reduction of the work roll between position 1 and position 4 rotates the left side 41 of the tooth gap away from the clearance side 42 of the cutting blade 36, so that the clearance side is between the entire rolls of the first flank, Has no cutting contact. The work roll reduction angle 38 must be large enough to prevent cutting on the clearance side 42 of the cutting blade 36. However, a work roll reduction angle 38 that is too large will open the slot beyond the possibility of forming the correct involute and achieving the proper slot width (no cleanup in the next step).

  After rough rolling (when the cutting blade reaches the root of the first flank), as shown in FIG. 6, a flank-to-cutter setover is performed from the root to the tip, and the stem for the finishing roll ( stock).

  FIG. 6 shows four two-dimensional graphics that realize the creation of an accurate involute profile in the reverse rolling mode (double roll second pass). After the sequence in FIG. 5, the resulting flank profile of work roll reduction 38 is not the exact involute desired. A setover towards the flank being created (which is a slight clockwise work roll Δε) follows, followed by reverse rolling (from position 5 to position 8) to form the correct profile from the bottom to the top. The setover amount is between zero and a small amount (eg, about 10% of the overall work roll reduction angle) to ensure surface cleanup. Alternatively, the setover amount can be a certain amount (ie, thickness) of stock material that is additionally removed from the tooth surface, such as, for example, 0.1 millimeter.

  It should be understood that the “positions” shown in the figures are for purposes of illustration and description, and that the invention is not limited to the number or positions of positions shown.

FIG. 7 shows a cross section of an imaginary cylindrical gear 50 representing a straight tooth bevel gear in its average portion. The cutter disk 52 corresponds to one side of the creation rack 54 (shown in the middle of the roll position) that follows the path indicated by S _Pitch (or S ₁ ) during creation of the involute profile. In the example of FIG. 7, the cutter disk 52 has a cutting edge 56 perpendicular to the cutter rotation axis. Since the angle of the generating rack flank is α and the generating rack is horizontal, the cutter axis must be tilted by α to simulate one flank of the generating rack. The distances S ₁ and S _Pitch in FIG. 7 are preferably the same.

FIG. 8 shows the workpiece and cutter rotated clockwise from FIG. 7 at an angle α to accept the horizontal cutter axis. FIG. 8 shows several radii and angles used in a set of equations suitable for calculating clearance-side interference. The angle φ _Int indicates the angle of interference with the workpiece material on the clearance side (assuming that it is correctly cut by the tip of the cutting blade). φ _Int is calculated from the work roll rotation (of the first cutting point cut at the clearance tip) and the location of the cutting blade clearance point at the outer diameter at the center roll position. The interference angle is used to reduce the work roll between the left cutting blade position and the right cutting blade position in FIG.

FIG. 8 shows one possibility for calculating the interference angle φ _Int . The interference angle is an amount measured by the angle of the material at the top of the clearance side of the tooth gap, which leads to interference with the clearance side of the cutting blade. 7 and 8 represent a virtual cylindrical gear of straight tooth bevel pinion or gear, calculated from the critical section (along the tooth width). The critical cross section is in the middle or end of the face. The calculations shown are based on a cross section in the middle of the face. The virtual cylindrical gear approximates the profile relationship of an actual straight bevel gear, which allows observation of the profile in a two-dimensional plane. This calculation is accepted as accurate for profile observation and is known, for example, from Non-Patent Document 2. Referring to the angles shown in FIG. 8, the following equation can be applied:

Known facts:
d ₀ ... Average pitch diameter γ ... Pitch angle h _K ... Genuine bevel gear tip H _F ... Genuine bevel gear tooth root R _Pitch ... Pitch radius in the middle of the surface R _Top・ ・ ・ Outside radius in the middle of the surface R _Root・ ・ ・_Root radius in the middle of the surface α ・ ・ ・ Pressure angle of straight bevel gears Δq ・ ・ ・ Generation roll RA from the start roll to the center roll ..Roll ratio between generating gear and work gear

R _Pitch = d ₀ / (2 cos γ) (1)
R _Top = R _Pitch + h _K (2)
R _Root = R _Pitch -h _F (3)

From the relationship in FIG.
R _Top * COS (φ ₂ −α) = R _Root * (φ ₁ −α) (4)
φ ₁ = α + P _w / (2R _Root ) [radians] (5)

Pass equation (5) to equation (4):
φ ₂ = arccos (R _Root cos (φ ₁ −α) / R _Top ) + α (6)

From the geometric relationship in FIG. 8:
S ₁ = R _Top sin (φ ₂ −α) −R _Root sin (φ ₁ −α) (7)

The gearing method results in the movement of a trapezoidal generating rack that contacts the pitch circle of the gear blank (see FIG. 7) to create an involute tooth profile. The rotation of the work gear is equal to s / d ₀ [radians] to achieve rolling without slipping between the pitch circle of the work gear and the pitch line of the generating rack. The rotation of the workpiece and cutter disk, clockwise in angle α, depicted in FIG. 7, results in the cutter-workpiece relationship in FIG.

S ₁ is a direction for creating a gear shift. S ₁ is related to φ _WorkRoll from the start roll to the center roll because it is equal to S _Pitch .

Work roll angle from start roll to center roll:
φ _WorkRoll = S ₁ / R _Pitch (creation method) [radians] (8)
φ ₃ = φ ₂ −φ _WorkRoll (9)
φ ₄ = α _CL − (φ ₁ −α) (10)
φ ₅ = φ ₁ + φ ₄ (R _Top −R _Root ) / R _Root (11)

Using equations (6) and (11), the interference angle from the relationship in FIG.
φ _Int = φ ₂ −φ _WorkRoll −φ ₅ (12)

The interference angle per φ _WorkRoll from the start roll to the center roll results in a slip coefficient.
f _Slide = φ _Int / φ _WorkRoll (13)

The slip factor can be used to calculate the work roll angle correction as a function of the theoretical work roll angle.
Δφ = f _Slide・ φ _WorkRoll (14)

The slip factor can also be used to calculate a roll ratio that includes a new slip rotation of the work gear.
φ _WorkRoll = _Δq · RA (15)
φ _WorkRoll ^* = _Δq · RA (1 + f _Slide ) (16)
RA ^* = RA (1 + f _Slide ) (17)

In summary, as the process progresses, it is possible to overlay Δφ on the work roll angle or use RA ^* from the starting roll to the center roll. The calculated angle Δφ eliminates serious interference, but does not create any clearance between the clearance side of the cutting blade and the blank. Δφ ₀ should be added to Δφ in order to eliminate any clearance edge contact by the additional amount. A preferable value of Δφ ₀ is 5% to 15% of Δφ (Δφ · 0.05 <Δφ ₀ <Δφ · 0.15).
Δφ _Total = Δφ + Δφ ₀ (18)

  The gear shown in FIGS. 7 and 8 is an imaginary cylindrical gear of a straight bevel gear to be observed. The virtual cylindrical gear has a two-dimensional representation and exhibits the same geometric characteristics as a true straight bevel gear shows in the profile section (of course it will be a three-dimensional representation). The profile of the two-dimensional virtual cylindrical gear allows the application of trigonometry to visualize the interference problem on the cutter blade clearance side and to allow the correction angle (ie roll correction ratio) to be determined.

  A rotating disk cutter for cutting a straight bevel gear generally uses a dish angle. In the case of a dish angle, the cutting edge is not perpendicular to the cutter axis. The cutter representation in FIGS. 7 and 8 was drawn without a dish angle. Since the presence of the dish angle changes the pressure angle α used in FIGS. 7 and 8, the graphic is automatically adjusted for the introduction of any dish angle. This also means that the equations (1) to (16) are applied to all dish angles including 0 °.

The calculation shown to determine the corrected work roll reduction is the only possible way to quantify the reduction angle, preventing clearance side interference. More complex calculations (for example, creation of the overall clearance side slot surface created by the cutting edge clearance edge, formed by this surface and the overall clearance side of the cutting edge (FIG. 2, position 4), Comparison with the clearance side of the slot) may provide more accurate results. However, since a certain percentage of Δφ (referred to above as Δφ ₀ ) must be added to achieve clearance without any unnecessary contact, a more accurate calculation results in an improved overall result. Will not connect.

  The method of the present invention can also be applied to a bevel gear cutting process with a face cutter head when only one type of cutting blade is used for slot roughing and one flank finishing.

  Although the present invention has been described and illustrated in connection with reducing the rotation angle of a workpiece during tooth gap creation, the present invention also provides a rotating disk cutter during a portion of tooth gap creation. Can be achieved by increasing the amount of roll movement (increased relative to the original theoretical amount).

  Although the invention has been described with reference to the preferred embodiments, it is to be understood that the invention is not limited to its features. The present invention is intended to include modifications that will be apparent to those skilled in the art to which the subject matter of the present invention pertains without departing from the spirit and scope of the appended claims.

Claims (13)

A method of manufacturing gear teeth on a workpiece, wherein the manufacturing is performed by a cutting tool having a plurality of cutting blades, each cutting blade comprising a cutting edge and a clearance edge, the method comprising:
Rotating the cutting tool;
Bringing the rotating cutting tool and the workpiece into contact with each other;
Rotating the workpiece;
Moving the cutting tool relative to the workpiece to define a generating roll for generating the gear teeth;
The rotation of the workpiece includes rotating the workpiece in a first direction from a start roll position to an end roll position, the workpiece starting at the start roll position and ending at the end roll position. Can be rotated at a first rotational speed, less than the theoretical rotational speed,
Or
The movement of the cutting tool includes moving the cutting tool in a first direction from a start roll position to an end roll position, the cutting tool starting at the start roll position and ending at the end roll position. The method is characterized by being moved at a first rotational speed that is greater than the upper moving speed.   The method of claim 1, wherein a center roll position is disposed between the start roll position and the end roll position, and the first rotational speed of the workpiece is determined by the start roll position and the center roll position. A method characterized by occurring between.   3. The method of claim 2, wherein the first rotational speed of the workpiece ends before the central roll position.   3. The method of claim 2, wherein following the first rotational speed, the workpiece is rotated at the theoretical rotational speed to the end roll position.   2. The method of claim 1, wherein no cutting action is performed by the clearance edge.   2. The method of claim 1, wherein following reaching the end roll position, the workpiece is rotated in the opposite direction upon contact with the cutting tool.   7. The method of claim 6, wherein the rotation of the workpiece in the opposite direction occurs at the theoretical speed.   7. The method of claim 6, wherein a setover operation of the cutting tool relative to the workpiece is performed prior to rotating the workpiece in the reverse direction.   The method of claim 1, wherein the first rotational speed is constant.   The method of claim 1, wherein the first rotational speed is variable.   The method of claim 1, wherein the cutting tool is a rotating disk cutter.   12. The method of claim 11, wherein the rotating disk cutter includes a cutting edge oriented at a dish angle.   The method of claim 1, wherein the cutting tool is a face cutter.